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Rzqust [24]
2 years ago
13

The constant of proportionality is always the point ____________, where kis the constant of proportionality.

Mathematics
1 answer:
spayn [35]2 years ago
8 0

Answer:

The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.

Step-by-step explanation:

Let's take as example a linear function of the form: y = kx.

Where, k is the constant of proportionality.

Therefore, the proportionality constant is the point: (x, kx)

Generically it is always the point: (x, k * f (x)

Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.

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Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the
Roman55 [17]

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

n = 9 i.e. the length of each security numbers

r = 2 i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

Total = 2^9

Total = 512

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where n>m, then there is at least one container that contains more than 1 item.

This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.

512 + 1 = 513

8 0
3 years ago
One bag of Roland fertilizer covers 2346 square feet of lawn. How many total bags of fertilizer must be purchased to cover a law
Ivenika [448]
If I did my math correct it should be 47. If you take 284x386 you get 109,624 (that should be the area in square feet) then take 109,624 and divide it into 2346 and you get 46.7280477408. In order to cover it you should round up to 47 bags. 
3 0
3 years ago
Train a and train B left a central station at the same time they travel the same speed but in opposite directions return a headi
baherus [9]
You go A to B & B 2A + 8 + B to A&A to B&B to a and then you go see 2D to see 2D to see you today to see 2D which equals a + 8 + 8 + 8 + 8 and that's your answer for this question I know it doesn't look like it makes sense but it's correct I think
3 0
3 years ago
A rectangular solid has sides of 4 cm, 6 cm, and 8 cm. What is its surface area?
gizmo_the_mogwai [7]
The surface are of a rectangular prism is:

A=2(xy+xz+yz), where x,y, and z are the dimensions of the prism, in this case:

A=2(4*6+4*8+6*8)

A=2(24+32+48)

A=2(104)

A=208 cm^2
8 0
2 years ago
Read 2 more answers
What is the solution to the system of equations? -7x-2y+z=-2 <br> 6x-y-z=-18<br> 5x+4y-z=18
irinina [24]

Answer:

x = -1, y = 7 , z = 5.

Step-by-step explanation:

-7x - 2y + z = -2  .........(1)

6x -  y - z  =  -18........(2)

5x + 4y - z=  18..........(3)

Subtract equations (2) - (3):

x  - 5y = -36.........(4)

Add equations (1) and (2):

-x  - 3y = -20.......(5)

Adding (4) and (5):

-8y = -56

y = 7.

Substitute y = 7 into equation 4:

x - 5(7) = -36

x - 35 = -36

x = -1.

Substitute x = -1 and y = 7 in equation (1):

-7(-1) - 2(7) + z = -2

7 - 14 + z = -2

z = -2 - 7 + 14

z =  5.

5 0
3 years ago
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